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Bunuel
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 01:57
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97% (01:21) correct 3% (03:20) wrong based on 113 sessions

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Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
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E
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 02:03
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Bunuel
Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
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Rate of A= 5 per min
Rate of B = 15 per min.
So per min 20 bottles and 25 min 500 IMO E

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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 02:07
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Bunuel
Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
Show more

Rate of A = 60/12 = 5 bottles per minute
Rate of B = 120/8 = 15 bottles per minute

Both working together, Rate = 5 + 15 = 20 bottles per minute
In 25 minutes = 20*25 = 500 bottles

IMO Option E

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Machine A fills soda bottles at a constant rate of 60 bottles every 12 Updated on: 01 Jul 2019, 02:09
Originally posted by cantaffordname on 01 Jul 2019, 02:08.
Last edited by cantaffordname on 01 Jul 2019, 02:09, edited 1 time in total.
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Rate of machine A would be 60/12 i.e 5.rate of machine B would be 120/8 i.e 15.

Time is given 25 mins

Work = Time *Rate

So Work of machine A : 5*25 = 125
Work Machine of B is : 15*25 = 375

So total work done by both machine is 125+375 =500

Answer is E.

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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 02:09
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Bunuel
Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
Show more

Machine A fills \(\frac{60}{12}\) = 5 bottles / min
Machine B fills \(\frac{120}{8}\) = 15 bottles /min
Together they fill 20 bottles /min

In 25 minutes, together they will fill = 25 * 20 = 500 bottles

IMO E
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 02:37
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\(Rate = \frac{work}{time}\)

\(\frac{60}{12}+\frac{120}{8} = \frac{x}{25}\)

\(5+15= \frac{x}{25}\)

\(x =500\)

:)
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 01 Jul 2019, 09:51
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Bunuel
Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
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rate of a per min ' 60/12 ; 5 and rate of b ; 120/8 ; 15
total time 20 bottle per min so in 25 mins ; 25*20 ; 500
IMO E
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 02 Jul 2019, 18:57
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Bunuel
Machine A fills soda bottles at a constant rate of 60 bottles every 12 minutes and Machine B fills soda bottles at a constant rate of 120 bottles every 8 minutes. How many bottles can both machines working together at their respective rates fill in 25 minutes?

A. 420
B. 440
C. 460
D. 480
E. 500
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The combined rate of both machines is:

60/12 + 120/8 = 5 + 15 = 20 bottles per minute.

In 25 minutes, 20 x 25 = 500 bottles can be filled.

Answer: E
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Machine A fills soda bottles at a constant rate of 60 bottles every 12 20 Nov 2021, 04:26
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